A new mechanism of coffee-ring formation deduced from numerical simulations with considering deformation and wettability

Jun Fukai, Takuya Harada, Hirotaka Ishizuka

Research output: Contribution to journalArticle

Abstract

A mathematical model describing the drying behavior of solution droplets deposited on a substrate is numerically solved to predict the morphology of the formed solid layer. The model includes the fluid dynamics, heat transfer, and mass transfer, and also considers wettability of the substrate and deformation of the free surface. The calculated morphologies of solid films agree reasonably with those formed experimentally from polystyrene/anisole solution droplets. The model predicts drying behavior that has not been previously reported. First, when a coffee ring is formed, solutal Marangoni forces deform the free surface while the solvent fully remains. Second, the deformation yields an outward bulk flow, enhancing solute transport toward the edge. Third, the effect of droplet size on the receding distance is related to the deformation. Consequently, the effects of droplet size, surface tension, viscosity, evaporation rate and wettability on film morphology can be explained by the deformation behavior.

Original languageEnglish
Pages (from-to)484-492
Number of pages9
JournalJOURNAL OF CHEMICAL ENGINEERING OF JAPAN
Volume52
Issue number6
DOIs
Publication statusPublished - Jan 1 2019

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Coffee
Wetting
Computer simulation
Drying
Solute transport
Polystyrenes
Substrates
Fluid dynamics
Surface tension
Evaporation
Mass transfer
Viscosity
Mathematical models
Heat transfer

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Chemical Engineering(all)

Cite this

A new mechanism of coffee-ring formation deduced from numerical simulations with considering deformation and wettability. / Fukai, Jun; Harada, Takuya; Ishizuka, Hirotaka.

In: JOURNAL OF CHEMICAL ENGINEERING OF JAPAN, Vol. 52, No. 6, 01.01.2019, p. 484-492.

Research output: Contribution to journalArticle

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